Greatest Common Factor of 144365 and 144370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 144365, 144370 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144365 and 144370 is 5.

GCF(144365,144370) = 5

GCF of 144365 and 144370

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 144365 and 144370

GCF of 144365 and 144370 is 5

Prime Factorization of 144365


5 144365
13 28873
2221 2221
1

Prime factors of 144365 are 5,13,2221. Prime factorization of 144365 in exponential form is:

144365 = 51×131×22211

Prime Factorization of 144370


2 144370
5 72185
14437 14437
1

Prime factors of 144370 are 2,5,14437. Prime factorization of 144370 in exponential form is:

144370 = 21×51×144371

∴ So by taking common prime factors GCF of 144365 and 144370 is 5

Greatest Common Factor of 144365 and 144370 by matching factors method

Factors of 144365

List of positive integer factors of 144365 that divides 144365 without a remainder.

1,5,13,65,2221,11105,28873,144365

Factors of 144370

List of positive integer factors of 144370 that divides 144370 without a remainder.

1,2,5,10,14437,28874,72185,144370

Greatest Common Factor

We found the factors and prime factorization of 144365 and 144370. The biggest common factor number is the GCF number.
So the greatest common factor 144365 and 144370 is 5.

Also check out the Least Common Multiple of 144365 and 144370

Properties of GCF 144365 and 144370

(i) The GCF of 144365 and 144370 is associative

GCF of 144365 and 144370 = GCF of 144370 and 144365

Related Greatest Common Factor of 144365

Related Greatest Common Factor of 144370

Frequently Asked Questions on GCF of 144365 and 144370

1. What is the GCF of 144365 and 144370?

Answer: GCF of 144365 and 144370 is 5.

2. What are the Factors of 144365?

Answer: Factors of 144365 are 1, 5, 13, 65, 2221, 11105, 28873, 144365. There are 8 integers that are factors of 144365. The greatest factor of 144365 is 144365.

3. What are the Factors of 144370?

Answer: Factors of 144370 are 1, 2, 5, 10, 14437, 28874, 72185, 144370. There are 8 integers that are factors of 144370. The greatest factor of 144370 is 144370.

4. How to Find the GCF of 144365 and 144370?

Answer:

Greatest Common Factor of 144365 and 144370 = 5

Step 1: Find the prime factorization of 144365

144365 = 5 x 13 x 2221

Step 2: Find the prime factorization of 144370

144370 = 2 x 5 x 14437

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 144365 and 144370 is 5